Final answer:
The correct sum of 4/5 and 9/11 is 89/55, which is not listed in the provided answer choices. The fractions were first converted to a common denominator of 55 before being added together.
Step-by-step explanation:
To find the sum of the fractions 4/5 + 9/11, we need to have a common denominator. The least common multiple (LCM) of 5 and 11 is 55, so we will convert each fraction to have 55 as the denominator:
To convert 4/5, we multiply both the numerator and the denominator by 11:
4/5 × 11/11 = 44/55
To convert 9/11, we multiply both the numerator and the denominator by 5:
9/11 × 5/5 = 45/55
Now we can add these two fractions:
44/55 + 45/55 = (44 + 45)/55 = 89/55
However, this answer is not listed in the options provided in the question which appear to be incorrect. To properly conclude, we would need to recheck either the fractions provided in the sum or the answer choices.